2013/05/24 by Ivan Dario Jimenez Rodriguez, Ivan D. Rodriguez, Simon C. Davenport +2 · 4 citations
Computer Science · Physics and Astronomy · #Composite fermion #Electron #Fermion #Fractional quantum Hall effect #Physics #Position and momentum space #Quantum #Quantum Computing Algorithms and Architecture #Quantum Hall effect #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum spin Hall effect #Space (punctuation) #Spectrum (functional analysis) #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.88.155307
5 pages, 2 figures, 3 tables
arxiv created 2013/05/24 · openalex publication_date 2013/10/09 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the entanglement spectra of many-particle systems in states which are closely related to products of Slater determinants or products of permanents, or combinations of the two. Such states notably include the Laughlin and Jain composite fermion states which describe most of the observed conductance plateaus of the fractional quantum Hall effect. We identify a set of entanglement wave functions (EWFs), for subsets of the particles, which completely describe the entanglement spectra of such product wave functions, both in real space and in particle space. A subset of the EWFs for the Laughlin and Jain states can be recognized as composite fermion states. These states provide an exact description of the low angular-momentum sectors of the real-space entanglement spectrum (RSES) of these trial wave functions and a physical explanation of the branches of excitations observed in the RSES of the Jain states.